It would make sense for exchanges to do this, although I'm not sure about the linkage between FTX and Binance. Didn't Binance heavily criticise FTX's leveraged tokens a while back, and used that as an excuse to launch their own "variable leverage" tokens?
I may be mistaken and out of the loop with the current developments, but that certainly does not look like a synchronised step to me. I'm fairly sure FTX fired back with a counterargument as well. Either they are really good at hiding their stuff or this has no grounding, but interesting nonetheless.
It's just like my guess. You are talking about criticism of tokens, but initially everything was fine and Binance traded FTX tokens on its platform until CZ deleted them from its platform: https://medium.com/@ashcash_/scam-on-binance-bull-bear-part-2-9c85996e13ed
But before that, they had a great relationship with FTX and nothing prevented Binance from making big money by fooling the hamsters who bought these tokens.
Now a big regulatory campaign has been launched against Binance. It will be possible to watch the development of events. Alternatively, a gradual overflow of liquidity from Binance to FTX is possible, and references to FTX will appear more and more often in the media every time, thus redirecting the vector of attention to a more promising business direction. This promising direction is precisely the FTX exchange. I will not be surprised that soon this exchange will become the top one in terms of volume, because Binance will soon surrender its positions, even CZ is already ready to leave the position of CEO due to regulations: https://www.cnbc.com/2021/07/27/binance-ceo-says-willing-to-step-down-amid-crypto-crackdown.html